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Finding the Fourth Proportional to 86,047.68, 129,061.80 and 29,877.96

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Solution

The fourth proportional to 86,047.68, 129,061.80 and 29,877.96 is: 44,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,047.68 : 129,061.80 = 29,877.96 : x
  2. Step 2: Convert to fraction form
    86,047.68/129,061.80 = 29,877.96/x
  3. Step 3: Cross multiply
    86,047.68x = 129,061.80 × 29,877.96
  4. Step 4: Simplify right side
    86,047.68x = 3,856,103,297.93
  5. Step 5: Solve for x
    x = 3,856,103,297.93/86,047.68
  6. Step 6: Final answer
    x = 44,813.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.